Question

1. grid fluff and fold charges $2.25 for each load of laundry. (lesson 1)

a. draw the graph of the proportional relationship between the two quantities, where x is the number of loads of laundry and y is the total cost.
laundry
graph with x-axis: number of loads (0 - 9), y-axis: total cost ($) (0 - 9)
b. describe how the unit rate is represented in the graph.

Explanation:

Part A:

Step1: Determine the equation

The cost \( y \) for \( x \) loads is proportional, so \( y = 2.25x \).

Step2: Find points

For \( x = 0 \), \( y = 0 \). For \( x = 1 \), \( y = 2.25 \). For \( x = 2 \), \( y = 4.5 \). For \( x = 3 \), \( y = 6.75 \). For \( x = 4 \), \( y = 9 \).

Step3: Plot points

Plot \((0,0)\), \((1, 2.25)\), \((2, 4.5)\), \((3, 6.75)\), \((4, 9)\) on the grid and draw a straight line through them.

Part B:

The unit rate (cost per load, \$2.25) is the slope of the line. The slope \( m=\frac{\Delta y}{\Delta x}\), so for each increase of 1 in \( x \) (1 load), \( y \) (cost) increases by 2.25. This is shown by the line's steepness; the rise over run (change in \( y \) over change in \( x \)) is 2.25, matching the unit rate.

Answer:

(Part A Graph Description):
Plot points \((0,0)\), \((1, 2.25)\), \((2, 4.5)\), \((3, 6.75)\), \((4, 9)\) and draw a line through them.